425201040 has 240 divisors, whose sum is σ = 1600986816. Its totient is φ = 100224000.

The previous prime is 425200939. The next prime is 425201047. The reversal of 425201040 is 40102524.

425201040 is a `hidden beast` number, since 42 + 520 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (425201047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292315 + ... + 293765.

Almost surely, 2^425201040 is an apocalyptic number.

425201040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800493408).

425201040 is an abundant number, since it is smaller than the sum of its proper divisors (1175785776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425201040 is a wasteful number, since it uses less digits than its factorization.

425201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 425201040 is about 20620.4034878079. The cubic root of 425201040 is about 751.9658295172.

Adding to 425201040 its reverse (40102524), we get a palindrome (465303564).

The spelling of 425201040 in words is "four hundred twenty-five million, two hundred one thousand, forty".